This problem involves combinations, since the order in which the judges are chosen does not matter. We can use the combination formula:
n C r = n! / (r! (n-r)!)
where n is the total number of judges (6) and r is the number of judges to be chosen (from 0 to 4).
To count the total number of ways a person can vote, we can sum up the combinations for r = 0, 1, 2, 3, and 4:
6 C 0 + 6 C 1 + 6 C 2 + 6 C 3 + 6 C 4
= 1 + 6 + 15 + 20 + 15
= 57
Therefore, there are 57 different ways a person can vote for the regional judges.
There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can choose to vote for 0, 1, 2, 3, or 4 judges. In how many different ways can a person vote?
3 answers
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